## Example Questions

### Example Question #1 : How To Find The Tangent Of An Angle What is the tangent of C in the given right triangle??      Explanation:

### Example Question #1 : How To Find The Tangent Of An Angle

Consider a right triangle with an inner angle  .

If and what is ?      Explanation:

The tangent of an angle x is defined as Substituting the given values for cos x and sin x, we get ### Example Question #2 : Trigonometry Triangle ABC shown is a right triangle. If the tangent of angle C is , what is the length of segment BC?      Explanation:

Use the definition of the tangent and plug in the values given:

tangent C = Opposite / Adjacent = AB / BC = 3 / 7

Therefore, BC = 7.

### Example Question #1 : How To Find The Tangent Of An Angle

If the sine of an angle equals , and the cosine of the same angle equals , what is the tangent of the angle?      Explanation: The cosine of the angle is and since that is a reduced fraction, we know the hypotenuse is and the adjacent side equals .

The sine of the angle equals , and since the hyptenuse is already we know that we must multiply the numerator and denominator by to get the common denominator of .  Therefore, the opposite side equals .

Since , the answer is ### All ACT Math Resources 